GCF of 6717/414, 1344/8244
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6717/414, 1344/8244 i.e 3/189612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6717/414, 1344/8244.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6717/414,1344/8244?
Given fractions are 6717/414,1344/8244
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6717/414,1344/8244, numerators are 6717,1344
Denominators are 414,8244
The GCF of 6717,1344 is 3 .
LCM of 414,8244 is 189612.
The greatest common factor of 6717/414,1344/8244 = [GCF of 6717,1344]/[LCM of 414,8244]= 3/189612
Therefore, the GCF of 6717/414,1344/8244 is 3/189612.
To find the highest common factor of 6717,1344, we have to find the factors of both numbers and list the highest common factor.
The factors of 6717 are 1, 3, 2239, 6717
The factors of 1344 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344
The HCF of 6717,1344 is 3.
Lets's calculate GCF of 6717,1344
| 3 | 6717, 1344 |
| 2239, 448 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6717,1344 By Matching Biggest Common Factor Method
Now, list down the factors of 6717
:1,3,2239,6717
Now, list down the factors of 1344
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,168,192,224,336,448,672,1344
Greatest Common Factor
We found the factors 6717,1344 . The biggest common factor number is the GCF number.
So the greatest common factor 6717,1344 is 3.
Lets's calculate LCM of 414,8244
| 2 | 414, 8244 |
| 3 | 207, 4122 |
| 3 | 69, 1374 |
| 23, 458 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 458 = 189612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/189612
Therefore, the GCF of Fractions 6717/414,1344/8244 is 3/189612
Least Common Multiple of 414,8244 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 414,8244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,8244) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(414,8244) x common factors =18 x 1 = 18
LCM(414,8244) = ( 414 × 8244 ) / 18
LCM(414,8244) = 3413016 / 18
LCM(414,8244) = 189612
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FAQs on GCF of Fractions of 6717/414, 1344/8244
1. What is the HCF of 6717,1344?
The HCF of 6717,1344 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6717/414, 1344/8244?
Answer: GCF of Numerators as per given numbers 6717/414, 1344/8244 is
GCF of Numerators i.e. for 6717,1344 is 3
LCM of denominators i.e. for 414,8244 is 189612.
Thus, GCF of Fractions is 3/189612.Finally, GCF of Fractions for 6717/414, 1344/8244 is 3/189612.